190453688100 has 405 divisors, whose sum is σ = 670316239593. Its totient is φ = 46755221760.

The previous prime is 190453688077. The next prime is 190453688107. The reversal of 190453688100 is 1886354091.

The square root of 190453688100 is 436410.

It is a perfect power (a square), and thus also a powerful number.

190453688100 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 536 + 8 + 8 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 174194377956 + 16259310144 = 417366^2 + 127512^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×190453688100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (190453688107) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 510599514 + ... + 510599886.

Almost surely, 2^190453688100 is an apocalyptic number.

190453688100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

190453688100 is the 436410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190453688100

190453688100 is an abundant number, since it is smaller than the sum of its proper divisors (479862551493).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190453688100 is a wasteful number, since it uses less digits than its factorization.

190453688100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 190453688100 in words is "one hundred ninety billion, four hundred fifty-three million, six hundred eighty-eight thousand, one hundred".